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Finding the Fourth Proportional to 1,052.80, 1,579.84 and 566.19

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Solution

The fourth proportional to 1,052.80, 1,579.84 and 566.19 is: 849.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.80 : 1,579.84 = 566.19 : x
  2. Step 2: Convert to fraction form
    1,052.80/1,579.84 = 566.19/x
  3. Step 3: Cross multiply
    1,052.80x = 1,579.84 × 566.19
  4. Step 4: Simplify right side
    1,052.80x = 894,488.19
  5. Step 5: Solve for x
    x = 894,488.19/1,052.80
  6. Step 6: Final answer
    x = 849.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.